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math.PR2026
Kinetic Mean-Field Planning via Schrödinger Bridges: Existence, Penalization, and Consistency Bounds
Erhan Bayraktar, Zhiyan Ding, Hiroaki Horikawa
We study a mean-field planning problem for a swarm of interacting, non-cooperative agents whose dynamics are stochastic and kinetic. The noise acts on the velocity only, and the in…
math.PR2026
Quantitative convergence rates for extended mean field games with volatility control
Erhan Bayraktar, Hiroaki Horikawa
We investigate the convergence of symmetric stochastic differential games with interactions via control, where the volatility terms of both idiosyncratic and common noises are cont…